An upright cylindrical tank is 10 feet in diameter and 10 feet high. If water in the tank is 6 feet deep. How much work is done in pumping all the water over the top edge of the tank?

I drew a picture in my notebook and tried to simplify the process, although I'm pretty sure as usual I'm doing most/all steps incorrectly.

The radius must be 5ft.

While this exercise doesn't list the weight of the water the whole chapter uses

= 62.4 in pounds per cubic foot.

I'm reading examples which use cones instead of cylinders and literary guessing the following equations...

F = weight of water * distance

Weight of water = 62.4, distance = 6-y

F = \delta\pi(6-y)